Search a number
-
+
21653037453457 is a prime number
BaseRepresentation
bin1001110110001011111011…
…00110110001000010010001
32211200000021102001210002001
410323011331212301002101
510314230410042002312
6114015133523354001
74363244311365064
oct473057546610221
984600242053061
1021653037453457
116999002170293
122518606522901
13c10b46345717
1454c0268308db
152783a2801057
hex13b17d9b1091

21653037453457 has 2 divisors, whose sum is σ = 21653037453458. Its totient is φ = 21653037453456.

The previous prime is 21653037453373. The next prime is 21653037453461. The reversal of 21653037453457 is 75435473035612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20440607434641 + 1212430018816 = 4521129^2 + 1101104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21653037453457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21653037453398 and 21653037453407.

It is not a weakly prime, because it can be changed into another prime (21653037454457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10826518726728 + 10826518726729.

It is an arithmetic number, because the mean of its divisors is an integer number (10826518726729).

Almost surely, 221653037453457 is an apocalyptic number.

It is an amenable number.

21653037453457 is a deficient number, since it is larger than the sum of its proper divisors (1).

21653037453457 is an equidigital number, since it uses as much as digits as its factorization.

21653037453457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752000, while the sum is 55.

The spelling of 21653037453457 in words is "twenty-one trillion, six hundred fifty-three billion, thirty-seven million, four hundred fifty-three thousand, four hundred fifty-seven".